document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180819>Question 1180819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the constant m for which all three lines x - y = -m …eq. 1 , 2x + y = m - 1 …eq. 2, and x + 5y = 4m + 1 …eq. 3 intersect at one point. \r<BR>\n" );
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document.write( "Note: Can you please show your full solution? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810608 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810608\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Find the constant m for which all three lines \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+y+=+-m ALIGN=MIDDLE  ALT=\"x+-+y+=+-m\"   DISABLED_style= \"max-width:90%; height:auto;\" > …eq. 1 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+y+=+m+-+1+ ALIGN=MIDDLE  ALT=\"+2x+%2B+y+=+m+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >…eq. 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+5y+=+4m+%2B+1 ALIGN=MIDDLE  ALT=\"x+%2B+5y+=+4m+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > …eq. 3 <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+y+=+-m ALIGN=MIDDLE  ALT=\"x+-+y+=+-m\"   DISABLED_style= \"max-width:90%; height:auto;\" > …eq. 1 , solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x++=+y-m ALIGN=MIDDLE  ALT=\"x++=+y-m\"   DISABLED_style= \"max-width:90%; height:auto;\" > …eq. 1a \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+y+=+m+-+1+ ALIGN=MIDDLE  ALT=\"+2x+%2B+y+=+m+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >…eq. 2, substitute  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%28y-m%29+%2B+y+=+m+-+1+ ALIGN=MIDDLE  ALT=\"+2%28y-m%29+%2B+y+=+m+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y-2m+%2B+y+=+m+-+1+ ALIGN=MIDDLE  ALT=\"+2y-2m+%2B+y+=+m+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y+=+2m%2Bm+-+1+ ALIGN=MIDDLE  ALT=\"+3y+=+2m%2Bm+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y+=+3m+-+1+ ALIGN=MIDDLE  ALT=\"+3y+=+3m+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+m+-+1%2F3+ ALIGN=MIDDLE  ALT=\"+y+=+m+-+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq,2a\r<BR>\n" );
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document.write( "go to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x++=+y-m ALIGN=MIDDLE  ALT=\"x++=+y-m\"   DISABLED_style= \"max-width:90%; height:auto;\" > …eq. 1a , substitute  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x++=+m+-+1%2F3+-m ALIGN=MIDDLE  ALT=\"x++=+m+-+1%2F3+-m\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x++=+-+1%2F3+ ALIGN=MIDDLE  ALT=\"x++=+-+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ..................eq.1b\r<BR>\n" );
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document.write( "go to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+5y+=+4m+%2B+1 ALIGN=MIDDLE  ALT=\"x+%2B+5y+=+4m+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > …eq. 3 , substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3+%2B+5%28m+-+1%2F3%29+=+4m+%2B+1 ALIGN=MIDDLE  ALT=\"-1%2F3+%2B+5%28m+-+1%2F3%29+=+4m+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >...solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3+%2B+5m+-+5%2F3+=+4m+%2B+1 ALIGN=MIDDLE  ALT=\"-1%2F3+%2B+5m+-+5%2F3+=+4m+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5m+-+2+=+4m+%2B+1 ALIGN=MIDDLE  ALT=\"+5m+-+2+=+4m+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5m+-+4m+=+2+%2B+1 ALIGN=MIDDLE  ALT=\"+5m+-+4m+=+2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+3 ALIGN=MIDDLE  ALT=\"+m+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "go to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+m+-+1%2F3+ ALIGN=MIDDLE  ALT=\"+y+=+m+-+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >........eq,2a , substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3+-+1%2F3+ ALIGN=MIDDLE  ALT=\"+y+=+3+-+1%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+8%2F3+ ALIGN=MIDDLE  ALT=\"+y+=+8%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+y+=+-3 ALIGN=MIDDLE  ALT=\"x+-+y+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > …eq. 1 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+y+=+3+-+1+ ALIGN=MIDDLE  ALT=\"+2x+%2B+y+=+3+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >…eq. 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+5y+=+4%2A3+%2B+1 ALIGN=MIDDLE  ALT=\"x+%2B+5y+=+4%2A3+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > …eq. 3 <BR>\n" );
document.write( "----------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+y+=+-3 ALIGN=MIDDLE  ALT=\"x+-+y+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > …eq. 1 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+y+=+2+ ALIGN=MIDDLE  ALT=\"+2x+%2B+y+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >…eq. 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+5y+=+13 ALIGN=MIDDLE  ALT=\"x+%2B+5y+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" > …eq. 3 <BR>\n" );
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document.write( "all three lines are intersecting at one point which is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2F3 ALIGN=MIDDLE  ALT=\"+8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Acircle%28-1%2F3%2C8%2F3%2C.12%29%2C+locate%28-1%2F3%2C8%2F3%2Cp%28-1%2F3%2C8%2F3%29%29%2C%0D%0A%0D%0Agraph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%2B3%2C+-2x%2B2%2C-x%2F5%2B13%2F5%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );